Mich. Comp. Laws § 397.472
Such contracts and arrangements may be made between and among any number of such libraries. Any library supported in whole or in part by taxes or other public funds or competent in law to be so supported shall be eligible to be included in any such contract or arrangement by whatever authority such library may be maintained and operated. Residents of the territory subject to taxation for support of any library entering into any such contracts or arrangements shall have such rights and privileges in the use of the respective libraries entering into like contracts and arrangements as shall be provided therein. If the expenditures generally of such library shall by the law under which maintained and operated be subject to being budgeted and approved, any expenditure by such library required for carrying out any such contract or arrangement shall be likewise so subject.
The provisions hereof shall be broadly and liberally construed and applied and any provision in any contract or arrangement reasonably tending to effectuate in any part the intents and purposes hereof shall be deemed within the authority hereby granted. Any political subdivision of the state, including school districts, now or hereafter authorized by law to establish or maintain libraries or library services, may enter into contracts or arrangements for library services and facilities provided in section 1 and provide for the payments of obligations arising from such contracts or arrangements by resolution of the legislative body of the political subdivision or school district or in any other manner provided by law.
MCL 397.472